a. Develop a network diagram for the project using AON convention. b. Determine the project completion time, the critical path, and the slack time for each activity. c. Suppose the plant manager has been given only 12 weeks to install the new pollution control equipment. Determine which activities are to be crashed, and by how much, to meet the 12-week due date. Use the information in the following table for crashing.
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- A student has been put in charge of a new garden design. The new design will involve five different activities. Per project management guideline, activities “a” and “b” start on day 0. Draw the network diagram. Calculate ES/EF/LS/LF and Slack for all activities. Activity A: Immediate Predecessprs (-) Duration days (3) Activity B: Immediate Predecessprs (-) Duration days(5) Activity C: Immediate Predecessprs (a) Duration days(3) Activity D: Immediate Predecessprs (b) Duration days(7) Activity E: Immediate Predecessprs (C,D) Duration days(3)The Virginia Department of Transportation is undertaking aconstruction project to widen a large section of interstate, highway near Washington, DC, which includes the construc-tion of a number of new bridges, interchanges, and over-passes. The first step in the project is the appointment of a project manger and the development of a project team, someof which will be departmental employees and others will beprivate consultants and operatives. The team for a project thissize also requires a large support staff with varying technicalskills. Once the team is selected and the staff is in place the first task is to select a primary contractor to manage and over-see the actual construction. The following activities are stan-dard for the planning and scheduling of this process: Construct the CPM/PERT network for this project and de-termine the project schedule. Identify the critical path and determine the expected project duration time and variance.Determine the probability that the team and…This project has the following activities that need to be completed (see Table below) a) Draw the AOA and AON diagrams b) Find the critical path in AOA and AON Diagrams. Show calculations and table. c) Find the completion time. Show calculations d) Find the duration of each activity. Show calculations e) Show the predecessors in a table format. Activity TE AB 1 AC 3 AD 3 DC 4 CB 3 DE 8 CF 2 BF 4 IJ 2 CE 6 EF 5 FG 10 FH 11 EH 1 GH 9 EJ 3 GI 8 HJ 6 .
- We are the project manager for an IT project in our company. We identified the following top-level project tasks and estimated durations to standup a small test lab for the project: Identify test lab building/space requirements and possible locations(8days) Select best location for lab (1day) Once the best location is selected, immediately start the next two tasks: Prepare lab space with power and cabling (3days) Identify/procure required specialized test lab hardware/software(5) Once the lab space is prepared, install/check out available infrastructure hardware/software(1day). Once the specialized software/hardware is received and the infrastructure hardware/software is installed/checked out, install/checkout specialized software/hardware (2days) Once all tasks are completed, conduct the final inspection (1 day). Let's create a PERT/CPM chart for this project and identify the overall project duration and critical path.Widgetco is making a prototype of a new product. The productconsists of two subassemblies. Before building either subassembly, the firm must purchaseraw materials and train workers. Before the subassemblies can be combined, subassembly2 must be inspected. The following table describes the project:Activity Description Requires Duration (Days)A Train workers 6B Purchase materials 9C Make subassembly 1 A,B 8D Make subassembly 2 A,B 7E Inspect subassembly 2 D 10F Combine subassemblies C, E 12G Subassembly 2 safety report E 6How quickly can Widgetco complete this project?(a) Define decision variables.(b) Write a suitable LP problem formulation.Build a PERT Analysis for a 3-month project with 6 activities (A to F) and 5 nodes
- Coleman Rich Control Devices, I nc., producescustom-built relay devices for auto makers. The most recent projectundertaken by Rich requires 14 different activities. Rich's managerswould like to determine the total project completion time(in days) and those activities that lie along the critical path. Theappropriate data are shown in the following table.a) What is the probability of being done in 53 days?b) What date results in a 99% probability of completion?Rich Cole Control Devices, Inc., producescustom-built relay devices for auto makers. The most recentproject undertaken by Cole requires 14 different activities.Cole’s managers would like to determine the total projectcompletion time (in days) and those activities that lie alongthe critical path. The appropriate data are shown in the fol-lowing table.a) What is the probability of being done in 53 days?b) What date results in a 99% probability of completion?Using the information provided in the table, the network diagram and the project completion time = 25 weeks, reduce the completion time of the project by 3 weeks in the most economical way. Activity NormalTime(weeks) NormalCost ($) CrashTime(weeks) CrashCost ($) MaximumweeksReduced CrashCost perWeek ($) A 3 500 2 900 1 400 B 4 600 3 700 1 100 C 6 800 3 1,286 3 162.00 D 6 1,500 4 2,150 2 325 E 6 1,750 4 2,250 2 250 F 5 1,200 5 1,200 0 0 G 7 1,500 5 1,794 2 147 H 3 500 3 500 0 0 Reduce G by select a number of (1-4) week(s), C by select a number (1-4) of week(s), at a cost of $ __________ enter a dollar amount .
- Glen Halford has laid out the major steps involved in the engine assembly process for an experimental automobile. the activities are labeled A through D in the following table, which also shows thier project is shown below. Immediate Time Estimates(weeks) Activity Predecessor(s) Optimistic(a) Most Likely(m) Pessimistic(b) A - 4 6 8 B - 8 10 12 C B 16 18 20 D A,C 8 10 24 Start-----A---------------------------D ------B------------C---------------D a.For each activity,copute the expected completion time and thevariance of the completion time. the expected completion time : t =(a+4m+b)/6 the variance of the completion:…In 2017, Aurecon was appointed by the City of Ekurhuleni to design and construct rail lineunderpasses that are attractive, safe and user-friendly for pedestrians and cyclists, together withthe associated safety infrastructure. The project was completed in February 2019 at a cost of R50 million with over 5,000 resourcesinvolved over the 2-year project.Q.1.1 Based on the above project information, discuss any Five (5) project constraints. Q.1.2 Projects are different from operations, state any Five (5) project attributes.Draw the PDM network diagram for the following project, calculate the earliest and latest starting and finishing times for all activities, and hence calculate the total float, free float for each activity. Activity IPA Duration (WEEKS) WORKERS REQUIRED PER WEEK EQUIPMENT REQUIRED (hrs/WEEK) H ---- 10 5 8 I H 8 4 2 J H 6 8 6 K J 4 2 1 L J 2 6 2 M J 4 3 2 N I 4 2 0 O I 5 5 0 P I, J 5 6 6 Q L 5 2 0 R M 5 0 4 S N 3 0 4 T Q 3 0 0 U O, S 1 9 8 V K, R 5 14 8 W U 2 6 8 X V 3 6 8 Y P,W,X,T 8 14 8 Z Y 6 5 8 If there is a limit of 15 workers per week, smooth the workers loading using ES and LS histogram. Based on the proposed scheduling, plot the equipment loading histogram for the project. Independently of the above resource leveling, schedule the…